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Finding the Third Proportional to 149,654.50 and 325,493

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Solution

The third proportional to 149,654.50 and 325,493 is: 707,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,654.50 : 325,493 = 325,493 : x
  2. Step 2: Convert to fraction form
    149,654.50/325,493 = 325,493/x
  3. Step 3: Cross multiply
    149,654.50x = 325,493 × 325,493
  4. Step 4: Simplify right side
    149,654.50x = 105,945,693,049
  5. Step 5: Solve for x
    x = 105,945,693,049/149,654.50
  6. Step 6: Final answer
    x = 707,935.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.